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Finding the Fourth Proportional to 290.06, 400.12 and 173.60

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Solution

The fourth proportional to 290.06, 400.12 and 173.60 is: 239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.06 : 400.12 = 173.60 : x
  2. Step 2: Convert to fraction form
    290.06/400.12 = 173.60/x
  3. Step 3: Cross multiply
    290.06x = 400.12 × 173.60
  4. Step 4: Simplify right side
    290.06x = 69,460.83
  5. Step 5: Solve for x
    x = 69,460.83/290.06
  6. Step 6: Final answer
    x = 239.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.